Question

In a party room, 20 workers decorate 70 tables. Each table is decorated with 10 silver balloons and 15 gold balloons. Which equation could be used to find x, the total number of silver and gold balloons needed altogether to decorate all the tables?

• A. x = 70(10 + 15)
• B. x = 15(70 + 10)
• C. x = 70 + (10 x 15)
• D. x = 20(70 + 10 + 15)

Answer 1

The correct option is A

x = 70(10 + 15)

Each table is decorated with 10 silver balloons and 15 gold balloons.
Hence, the total number of balloons per table is (10 + 15).

Since there are 70 tables and all tables have 10 silver and 15 gold balloons.
So, the total number of balloons is 70(10 + 15).

Hence, the required algebraic equation is x = 70(10 + 15).
$\therefore$ The total number of balloons required, x = 70(10 + 15) = 1750.